Speaker Christine Quinn

A proposal to make it easier to sue over police stop and frisks is setting has set a stage for an unusual drama in New York City politics, as backers said Wednesday they would press to get it passed despite opposition from City Council Speaker Christine Quinn.

City Council Speaker Christine Quinn said the council would soon override the veto of the measure, which would have made the city the fourth place in the nation to ban job ads that say unemployed applicants won’t qualify.

Saying the Rent Guidelines Board is stacked against renters, politicians and tenants rallied on the steps of City Hall Monday in support of state measure that would give the City Council veto power over the mayor’s nominees on the board.

Under the bill, if a community keeps its streets clean for two consecutive years and gets a 90 percent cleanliness grade, the local community board would have the option of reducing its street cleaning to once a week.